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Number of (n+1) X 8 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.
0

%I #6 Dec 11 2015 21:27:32

%S 62623348,5614757320,2345626036136,1565902419680820,

%T 1078848431799509828,747343697917253418576

%N Number of (n+1) X 8 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors.

%C Column 7 of A206188.

%e Some solutions for n=4:

%e ..1..1..3..1..1..3..1..0....0..1..0..1..1..0..1..0....1..3..2..1..3..0..2..2

%e ..0..2..1..3..2..1..0..2....0..0..0..1..2..0..0..0....2..2..2..1..3..0..2..1

%e ..0..0..1..2..2..3..0..1....3..3..0..1..2..3..3..3....3..1..1..1..3..0..2..2

%e ..3..1..0..1..3..0..1..0....2..1..0..3..3..2..1..0....0..0..0..1..3..0..0..0

%e ..2..2..1..0..0..2..0..1....1..1..0..3..0..2..1..0....1..3..0..1..3..3..3..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 04 2012